7r+3(7-r)=(r+4)

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Solution for 7r+3(7-r)=(r+4) equation:


Simplifying
7r + 3(7 + -1r) = (r + 4)
7r + (7 * 3 + -1r * 3) = (r + 4)
7r + (21 + -3r) = (r + 4)

Reorder the terms:
21 + 7r + -3r = (r + 4)

Combine like terms: 7r + -3r = 4r
21 + 4r = (r + 4)

Reorder the terms:
21 + 4r = (4 + r)

Remove parenthesis around (4 + r)
21 + 4r = 4 + r

Solving
21 + 4r = 4 + r

Solving for variable 'r'.

Move all terms containing r to the left, all other terms to the right.

Add '-1r' to each side of the equation.
21 + 4r + -1r = 4 + r + -1r

Combine like terms: 4r + -1r = 3r
21 + 3r = 4 + r + -1r

Combine like terms: r + -1r = 0
21 + 3r = 4 + 0
21 + 3r = 4

Add '-21' to each side of the equation.
21 + -21 + 3r = 4 + -21

Combine like terms: 21 + -21 = 0
0 + 3r = 4 + -21
3r = 4 + -21

Combine like terms: 4 + -21 = -17
3r = -17

Divide each side by '3'.
r = -5.666666667

Simplifying
r = -5.666666667

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